Find the diagonal $ d_2 $ of a rhombus if diagonal $d_1 = 12$ and angle $\alpha = 30^o$.
Answer
$d_2 = 3.1058$
Explanation
To find diagonal $ d2 $ use formula:
$$ \sin \left( \frac{ \alpha }{ 2 } \right) = \dfrac{ d_2 }{ d_1 } $$After substituting $ \alpha = 15^o $ and $ d_1 = 12 $ we have:
$$ \sin \left( \frac{ 30^o }{ 2 } \right) = \dfrac{ d_2 }{ 12 } $$ $$ \sin( 15^o ) = \dfrac{ d_2 }{ 12 } $$ $$ 0.2588 = \dfrac{ d_2 }{ 12 } $$$$ d_2 = 0.2588 \cdot 12 $$$$ d_2 = 3.1058 $$This page was created using
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